A Unified IMEX Runge--Kutta Approach for Hyperbolic Systems with Multiscale Relaxation
A Unified IMEX Runge--Kutta Approach for Hyperbolic Systems with Multiscale Relaxation
In this paper we consider the development of Implicit-Explicit (IMEX) Runge--Kutta schemes for hyperbolic systems with multiscale relaxation. In such systems the scaling depends on an additional parameter which modifies the nature of the asymptotic behavior, which can be either hyperbolic or parabolic. Because of the multiple scalings, standard IMEX …